LCM of 259, 784, 634, 315, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 784, 634, 315, 628 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 259, 784, 634, 315, 628. So, keep reading to learn more.
Given numbers are 259,784,634,315,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,784,634,315,628 is 64966461840.
Find LCM of 259,784,634,315,628 with Prime Factorization
| 2 | 259, 784, 634, 315, 628 |
| 2 | 259, 392, 317, 315, 314 |
| 7 | 259, 196, 317, 315, 157 |
| 37, 28, 317, 45, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 37 x 28 x 317 x 45 x 157 = 64966461840
Therefore, the lowest common multiple of 259,784,634,315,628 is 64966461840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
259 x 784 x 634 x 315 x 628 = 25466853041280
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
259 : 1, 7, 37, 259
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
634 : 1, 2, 317, 634
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,784,634,315,628, is 1.
Now, the common factors can be found like this.
259:7x 37
784:2x 2x 2x 2x 7x 7
634:2x 317
315:3x 3x 5x 7
628:2x 2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 7x 7 = 392
Therefore, the value for common factors is 392.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 25466853041280/(1x392)
LCM = 25466853041280/392
LCM = 64966461840
Thus, we can understand that the LCM of 259,784,634,315,628 is 64966461840.
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FAQs on LCM of 259, 784, 634, 315, 628
1. What is the LCM of 259, 784, 634, 315, 628?
Answer: LCM of 259, 784, 634, 315, 628 is 64966461840.
2. How to calculate the LCM of 259, 784, 634, 315, 628?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 259, 784, 634, 315, 628.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.